Let $R$ be the relation on the set $\{1,2,3,4,5\}$ containing the ordered pairs $(1,3),(2,4),(3,1),(3,5),(4,3),(5,1),(5,2),$ and $(5,4).$ Find

a$)R^2.$

b$)R^3.$

c$)R^4$

d$)R^5.$

e$)R^6.$

f$)R^{**}.$